I recently installed a tow hitch on my Passat 3C, and as a caravanning enthusiast, I've also delved quite deeply into the wiring involved.
VAG generally only provides a constant positive connection (Pin 9). The charging line is not connected in any of the wiring diagrams I have examined (Passat, Phaeton, A6, A

. And you're writing it like that specifically for the Touran.
In the circuit diagrams I reviewed, the wiring was always specified as 2.5mm² and protected with a 20A fuse. (Of course, in the caravan, there is also a fuse directly connected to the battery).
Generally, the ground wire is never switched. The reason for the individual ground wires (pin 11 and 13) is the voltage drop. While driving, a 12V refrigerator in the caravan typically consumes around 10 amps. Over the cable length from the vehicle battery to the caravan battery (approximately 10 meters), a voltage drop of 0.5 - 1V occurs. This applies to both the ground wire and the 12V wire. Consequently, the caravan battery is no longer effectively charged. Therefore, separate ground and 12V lines are used, so that the current drawn by the refrigerator and the resulting voltage drop do not affect the charging line.
Therefore, the charging cable should always be disconnected from the battery directly and not simply connected to the mains socket via a relay from the constant power line. Of course, this is only relevant if you actually want to use a caravan with its own battery and also need to charge it over longer distances.
High-end electric vehicles typically have step-up converters before the battery, which increase the voltage of the charging line to 13.8 - 14.2V for the battery. However, this feature is only standard equipment on a very small number of WoWas.
By the way, in my Passat's owner's manual, it already specifies which fuses are used for the trailer hitch

.
A 20A fuse is sufficient, even if the auxiliary battery is empty. An empty battery has approximately 12V, while the alternator provides around 14.4V. The voltage drop on the ground and B+ lines automatically limits the charging current, preventing the fuse from blowing.
My tip, if you really want to pull power (and this is so new that the corresponding pins are even present in the plug!):
- Connect the ground wire from pin 11 to a vehicle ground point in the rear.
- Route pin 10 separately, through a fuse and relay, directly to the battery or, at the very least, to the fuse box.
(Both with 2.5mm²)
If you have any further questions, please don't hesitate to ask.
PS: If your signature had a model year, I could have provided you with more specific values

.
PS2: This should be either SC40 or SC41, depending on the model year. It is always 20A.
Regards,
Guste.